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Finding the Fourth Proportional to 842.14, 1,162.34 and 469.25

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Solution

The fourth proportional to 842.14, 1,162.34 and 469.25 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.14 : 1,162.34 = 469.25 : x
  2. Step 2: Convert to fraction form
    842.14/1,162.34 = 469.25/x
  3. Step 3: Cross multiply
    842.14x = 1,162.34 × 469.25
  4. Step 4: Simplify right side
    842.14x = 545,428.05
  5. Step 5: Solve for x
    x = 545,428.05/842.14
  6. Step 6: Final answer
    x = 647.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.